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On the convergence of series of fuzzy numbers
Elhassan ElJaoui,Said Melliani,L. Saadia Chadli 원광대학교 기초자연과학연구소 2022 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.23 No.2
In this paper, we study some criteria for three types of convergence of series of fuzzy numbers, using the usual order relation ex- tended to intervals and fuzzy numbers. Then, we prove a fuzzy version of Abel theorem for fuzzy series, we introduce the fuzzy Cauchy product of two fuzzy series, which we apply to prove the main properties of the exponential of a fuzzy number. To illustrate our theoretical results, we exhibit some examples namely the fuzzy geometric and telescopic series.